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Finding the Third Proportional to 297,577.13 and 452,593.13

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Solution

The third proportional to 297,577.13 and 452,593.13 is: 688,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,577.13 : 452,593.13 = 452,593.13 : x
  2. Step 2: Convert to fraction form
    297,577.13/452,593.13 = 452,593.13/x
  3. Step 3: Cross multiply
    297,577.13x = 452,593.13 × 452,593.13
  4. Step 4: Simplify right side
    297,577.13x = 204,840,536,797.27
  5. Step 5: Solve for x
    x = 204,840,536,797.27/297,577.13
  6. Step 6: Final answer
    x = 688,361.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.